Perform the indicated operation and write the answer in the form a + bi.
(9+ i)(-6+5i)

Answers

Answer 1

Answer:

-59 + 39i

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)

or:

-54 + 45i - 6i - 5, or

-59 + 39i


Related Questions

ANSWER ASAP! SCAM LINKS REPORTED.

Answers

Answer:

b is correct

Step-by-step explanation:

i did this pls mark as branlyest

Answer:

I believe the answer is D

Step-by-step explanation:

which equation has a slope of -1/4?

A) y=4
B) y=-4x
C) y=-1/4x+1
D) y=4x+9
E) x=-1/4
F) y=-1/4

Answers

Answer:

C

Step-by-step explanation:

y = mx + b

Choice C is y = (-1/4)x + 1

m or slope = -1/4

C
This can be dinged By using y=mx+b

Please Help me.. i'll give brainliest to the first person that answers it correct

Solve ax + by = a-b and bx – ay = a+b
A. x = 1 and y = 1
B. x = 1 and y = -1
C. x = -1 and y = -1
D. x = -1 and y = 1

Answers

Answer:

x = 1 and y = -1

Step-by-step explanation:

1.ILL GIVE BRAINIEST FOR ANSWER
Chan invested $12,500 in a savings account that pays 2.5% simple interest. How much interest does
he earn each year?
F $350.50
G $312.50
H $322.50
J $325.50

Answers

Answer:

Step-by-step explanation:

Please help marking brainliest

Answers

Answer: The length of each side of the tiles is 7.2 in

Step-by-step explanation:

QUICK HELP with the Image below

Answers

Answer:

12 8/11

Step-by-step explanation:

hope it helps you

Estimate the radius of the object

Answers

Answer:

r = 1.41 mm

Step-by-step explanation:

Given that,

The circumference of the flower, C = 8.9 mm

We need to find its radius. We know that,

Circumference, [tex]C=2\pi r[/tex]

Where

r is the radius of the object

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{8.9}{2\pi}\\\\r=1.41\ mm[/tex]

So, the radius of the object is equal to 1.41 mm.

Collin bought one T-shirt for $7.90 and another T-shirt for $12.40. What is the total amount he spent?

Answers

$20.30 is how much he spent all together

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
O
mZQRS = [?]
Enter

Answers

40° is your answer

Answer:

:

< ABC+<QRS=180

m<QRS=180-140=40°

Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).

Answers

Lines are parallel
(Use desmos calculator for these problems)

Calculate the area of the above triangle
07 square units
28 square units
14 square units
30.5 square units

Answers

Answer:

14 square units

Step-by-step explanation:

Equation:

Area of a triangle = h*b/2

Variables:

h = 4 units

b = 7 units

Solve:

h*b/2

= 4 units * 7 units /2

= 14 square units

Please mark brainliest if this helped!

Larissa rolled two number cubes each with the numbers 1 through 6 larissa adds the numbers appeared on the roll which two sums have an equal chance of occurring

A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9

Answers

The answer ur looking for is (c)

Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.

Answers

7•x=63 x=9 4•x=4•9= 36 so he has 36 markers i believe

Which expression is equivalent to ( x4/3 x2/3 )1/3
?

Answers

Answer:

x^2/3

Step-by-step explanation:

(x^4/3 × x ^2/3)^ 1/3

According to laws of indices powers are added if the base is same,

[x^(4/3 + 2/3) ] ^1/3

= (x ^ 6/3 ) ^ 1/3

= (x² )^ 1/3

= x ^ 2/3

Leo made the following container to store his camping gear. This container is the shape of a rectangular prism. It has material covering the outside of all six sides.

Answers

Answer:

I know this is probably late but the answer is 52 ft

Step-by-step explanation:

I did the Unit Test

6 Melvin and Roberto played football on two different teams last season.
• Melvin's team won w games.
• Roberto's team won 3 fewer games than Melvin's team.
Which expression can be used to represent the number of games Roberto's
team won last season?
Select one answer.
A W + 3
BW-3
CW.3
Dw3

Answers

Answer:

B is the answer

Step-by-step explanation:

find the volume if the cylinder. round to the nearest tenth if nessesary.
A. 627.5m^3.
B. 843.4m^3.
C. 986.4^3.
D. 1017.9n^3​

Answers

The correct Answer is : B. 843.4m^3.

Does the equation below represent a relation, a function, both a relation and a function or neither
y = x2 – 9x

Answers

Its a relation I think so I learned before

how do you add an equation vertically​

Answers

"Vertically" probably refers to stacking the polynomials on top of each other and aligning them at equal powers of x. So kind of like what you might do when adding two numbers with more than 1 digit each.

For example, the sum 123 + 456 can be computed by adding digits in the same digits place:

… 1 2 3

+ 4 5 6

… 5 7 9

Then for this sum, you have

… - 3x ²  - 6x   + 8

+    8x ² + 7x   - 14

…   5x ²  + x    - 6

Pls help!

Which figure is a prism?

Answers

Answer:

the first red one, it's a triangular prism

Step-by-step explanation:

the second one is a triangular pyramid

the rest (third and fourth one) are square pyramids

Answer:

Its the first one

Step-by-step explanation:

Because a prism is a three-dimensional shape with identical ends, called bases, and flat sides called faces. These identical slices of a prism are called cross sections.

         mark brainliest please.

Will someone please please help me

Answers

Answer:

Step-by-step explanation:

12 + 5 = 17

square root of 9 = 3

5 x 4 = 20

Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.


help hurry

Answers

Compound interest formula:

Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)

Total = 4,465(1 + .03/365)^(365x5)

Total = $5,187.56

The balance after 5 years will be $5177 and 10 cents.

How to calculate compound interest?

Compound interest is calculated by following formula:

[tex]A(1+\frac{r}{n})^{nt}[/tex]

Here:

A=principle amount=$4465

r=rate of interest/100=3/100=0.03

n=no. of days interest is applied=365 days

t=time period of interest=5 years

Putting all the values in the formula we get:

[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]

Therefore, The amount at the end will be $5177 and 10 cents.

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A retiree invests $7,000 in a savings plan that pays 7% per year. What will the account balance be at
the end of the first year?

Answers

Answer:

$6510

Step-by-step explanation:

First thing that should come to mind is: What is 7% of $7000?

Well, if you don't know how to find a percent of something, this is the formula you use:

7000 x 0.07 = 490.

In the first year, they will receive 490 out of the 7000 they've invested.

7000 - 490 = 6510.

Therefore, the account balance at the end of the first year will be 6510.

The account balance at the end of first year will be equal to $6510.

What do you mean by percentage ?

Percentage is the relative value indicating one hundredth part of any quantity.

It is given that a retiree invests $7000 in a savings plan which pays 7% per year.  So , it meant that we need to calculate that what is the value 7% of $7000.

So , 7% of $7000 is :

= 7000 × [tex]\frac{7}{100}[/tex]

= $490

It is known that this amount is paid as per plan per year. So, to find out the account balance at the end of the first year , we need to subtract the invested amount to the amount per year at 7%.

So , the account balance at the end of first year will be :

= 7000 - 490

= $6510

Therefore , the account balance at the end of first year will be equal to $6510.

Learn more about percentage here :

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please help me someone i really need this to get my grade up :(

Answers

Answer: D

2 1/2 divided by 1/4 = 10

hope this gets ur grade up keep trying ur best!! :D

What is the factored form of this expression?
9x2 – 64y2

Answers

Answer:

(3x + 8y)(3x - 8y)

Step-by-step explanation:

this is the difference of 2 perfect squares.

9x2 - 64y2

(3x + 8y)(3x - 8y)

A political analyst wanted to see whether there is an association between political affiliation and where a person lives. The analyst took a random sample of 1,250 people in a state and asked them which political party they were affiliated with and what county they lived in. The following are the hypotheses the analyst tested.
H0: There is no association between party affiliation and the county in which a person lives.
Ha: There is an association between party affiliation and the county in which a person lives.
The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively. Which of the following conclusions should be made about political affiliation and where a person lives?
A) There is convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.
C) There is convincing statistical evidence to prove that political affiliation and where a person lives are dependent.
D) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are independent.
E) There is not convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Answers

Answer:

B) There is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Step-by-step explanation:

Chi square test value is greater than the p-value which suggest that we can reject the null hypothesis and there is strong evidence supporting the statement of alternative hypothesis.

The conclusions, made for political affiliation, that there is convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

What is random sample?

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

The analyst took a random sample of 1,250 people in a state. The following are the hypotheses the analyst tested-

H0: There is no association between party affiliation and the county in which a person lives.Ha: There is an association between party affiliation and the county in which a person lives.

The chi-square test statistic and p-value of the hypothesis test were 19.78 and 0.003 respectively.

The value of chi square is greater than p-value as,

[tex]19.78 > 0.003[/tex]

Therefore, the null hypothesis can be rejected. There is an association between party affiliation and the county in which a person lives.

Hence, the conclusions, made for political affiliation, that there are convincing statistical evidence to suggest that political affiliation and where a person lives are dependent.

Learn more about the random sample here;

https://brainly.com/question/17831271

In a random sample of 8 ​people, the mean commute time to work was 35.5 minutes and the standard deviation was 7.4 minutes. A 90​% confidence interval using the​ t-distribution was calculated to be (30.5,40.5). After researching commute times to​ work, it was found that the population standard deviation is 9.3 minutes. Find the margin of error and construct a 90​% confidence interval using the standard normal distribution with the appropriate calculations for a standard deviation that is known. Compare the results.

Answers

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

Please expert or aced help me :C

Answers

area of square = 196
all of the triangles have the same dimensions
8 x 14 = 112
112 divide by 2 is 56
56 + 56 + 56 + 56 + 196 = 420

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.


Answers

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

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a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute​

Answers

10^5=100,000
100,000*3.6
360,000
360,000/2400

I believe it’s 150 bolts per minute
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